Answer:
9 hours of work
Step-by-step explanation:
306/17 = 18 per hour
so 162/18 = 9
Answer:
9 hours
Step-by-step explanation:
We can make a proportion and solve
She makes $306 for 17 hours of work,and she makes $162 for x hours of work
306/17=162/x
Cross multiply
306*x=17*162
306x=2754
Now we need to solve for x, by getting x by itself. x is being multiplied by 306; to undo this, divide both sides by 306
306x/306=2754/306
x=9
So, she needs to work 9 hours to make $162
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write expressions for the number of sweets Sue and Tony now have.
Answer:
s = 13 - x
t = [tex]\frac{18+x}{2}[/tex]
Step-by-step explanation:
To start out with:
s = 18
t = 18
Sue gives Tony x sweets
s = 18 - x
t = 18 + x
Sue then eats 5 of her sweets
s = 18 - x - 5 = 13 - x
t = 18 + x
Tony eats half of his sweets
s = 13 - x
t = [tex]\frac{18+x}{2}[/tex]
(Possible constraint that [tex]x\mod 2 = 0[/tex])
When Sue gives Tony x sweets, and then eats 5, she has 13 - x sweets left. Tony, having received x from Sue and then eats half of his total, has 9 + 0.5x sweets.
Explanation:The question begins with Sue and Tony each having 18 sweets. First, Sue gives Tony 'x' sweets which results in Sue having 18 - x sweets and Tony having 18 + x sweets. Sue then eats 5 sweets resulting in her having 18 - x - 5 = 13 - x sweets. Tony then eats half of his sweets, resulting in him having (18 + x) / 2 = 9 + 0.5x sweets. So, the expressions summarizing the number of sweets Sue and Tony have now are 13 - x for Sue and 9 + 0.5x for Tony respectively.
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The coordinates A(0,0) B(0,4) and C(2,0)are graphed and connected together. What 3 dimensional shape will be created
A right triangle. The Origin connects 4 blocks up ON the y axis, then connects 2 on the x axis.
If the surface area of a cube is 390 sq cm. Which best describes the length of the side of the cube?
The length of the side of a cube with a surface area of 390 sq cm is approximately 8.06 cm.
Explanation:The student's question relates to finding the length of a side of the cube, given the total surface area of the cube. In the case of a cube, all sides are equal in length. Furthermore, a cube has six equal sides. Therefore, to find the length of one side, we can use the formula of the surface area of a cube, which is 6 * side² = Total Surface Area. For our problem, side² = 390 / 6 = 65. Hence, the length of the side would be the square root of 65, which is approximately 8.06 cm.
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The best description of the length of the side of the cube is Option C. between 8 and 9.
To determine the length of the side of a cube given its surface area, we first recall the formula for the surface area (SA) of a cube:
SA = 6s²
where s is the length of one side. We are given a surface area of 390 cm². We substitute this value into the formula and solve for s:
390 = 6s²
s² = 390 / 6
s² = 65
s = √65
To find the exact value of √65, we use a calculator:
√65 ≈ 8.06
Therefore, the length of the side of the cube is approximately 8.06 cm, which falls between 8 and 9. Hence, the correct answer is:
Option C. between 8 and 9
Complete question:
If the surface area of a cube is 390 cm^2. Which best describes the length of the side of the cube?
A. less than 7
B. between 7 and 8
C. between 8 and 9
D. greater than 9
Your answer should be a polynomial in standard form. ( − 2 h + 9 ) ( 9 h − 2 ) = (−2h+9)(9h−2)=
Answer:
[tex]-18\cdot h^{2} + 85\cdot h - 18[/tex]
Step-by-step explanation:
The polynomial in standard form is:
[tex](-2\cdot h + 9) \cdot (9\cdot h - 2)[/tex]
[tex]-18\cdot h^{2} + 81\cdot h +4 \cdot h - 18[/tex]
[tex]-18\cdot h^{2} + 85\cdot h - 18[/tex]
David picks a card at random.
Without putting the first card back, he picks a second card at random.
Are these two events dependent or independent?
Answer:
dependent
Step-by-step explanation:
This question assumes that we're working with a standard full deck of cards. There are 52 unique cards in such a deck.
If David picks a card at random and doesn't put it back, then the number of unique cards left in his deck is 51.
These two events are dependent because the withdrawal of 1 card changes the probability of drawing any other of these 51 cards
If Ryan paid $63 for shoes that were regularly priced at $90, what was the percent discount of the
sale?
Answer:
30% off
Step-by-step explanation:
63 is 70% of 90 which means that 30 percent of the price is off.
Please mark me brainliest. I need it. Hope this helps
Combine the like terms to create an equivalent expression: \large{-3k-(-8)+2}−3k−(−8)+2minus, 3, k, minus, left parenthesis, minus, 8, right parenthesis, plus, 2
Answer:
-3k+10
Step-by-step explanation:
We want to simplify the expression: [tex]\large{-3k-(-8)+2}[/tex]
Step 1:
Open the bracket taking note of the fact that the product of same sign is positive.
[tex]\large{-3k-(-8)+2}=-3k+8+2[/tex]
Step 2:
Simplify
[tex]-3k+8+2=-3k+10[/tex]
Therefore, an equivalent expression to -3k-(-8)+2 is -3k+10.
What is the volume of a cylinder with base radius 2 and height 9?
On Saturday Elena biked 10 miles. On Sunday she biked 50% of that distance. How far did she travel on Sunday?
50% is one half.
One half of 10 miles would be 5 miles.
You can either divide 10 by 2 or multiply 19 by the decimal for 50% which is 0.5 , they will both get you the answer of 5 miles.
Lila lives in a house that is 12 meters below sea level. Lila goes to school every day, which is 6 meters above sea level. How many meters does Lila travel, in altitude, when going from home to school?
Answer:
18 meters
Step-by-step explanation:
12 + 6 = 8
Lila travels an absolute altitude difference of 18 meters from home to school, considering she travels from 12 meters below sea level to 6 meters above sea level.
Explanation:The question presents a situation where Lila travels from an altitude of 12 meters below sea level to an altitude of 6 meters above sea level. Here, instead of adding these two numbers, we consider the absolute values of these heights. Thus, when Lila travels from her home to school, she first climbs up 12 meters to reach sea level and then another 6 meters to reach her school. So, in total, Lila travels 18 meters in altitude when going from home to school.
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2+3x=-4(5+2x) need help for this question.
Answer:
x=-2
Step-by-step explanation:
2+3x=-20-8x
22=-11x
x=-2
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
[tex]2 + 3x = - 4(5 + 2x) \\ 2 + 3x = - 20 - 8x \\ 3x + 8x = - 20 - 2 \\ 11x = - 22 \\ \frac{11x}{11} = \frac{-22}{11} \\ x =- 2[/tex]
True or false help pls
Answer:
Answer: False
Step-by-step explanation:
Answer:
False :)
Step-by-step explanation:
Determine whether triangle RST or triangle LMN is similar to triangle ABC?
Answer:
triangle LMN is similar to triangle RST
Step-by-step explanation:
Martina ordered x cans of paint at a cost of $18.95 per can along with $55 worth of paintbrushes.
Martina can use the equation x = 18.95y + 55 to find the total cost, y, of her order.
A- true
B- false
Answer:
False
Step-by-step explanation:
Cost of 1 can = $18.95
Cost of x cans = 18.95x
Cost of paintbrushes = $55
Total cost = 18.95x+55
Let y be the total cost
y=18.95x+55
So, Equation that can be used : y=18.95x+55
We are given that Martina can use the equation x = 18.95y + 55 to find the total cost, y, of her order.
So, It is False
A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 3 hours. Find the average speed on the level triad if the entire trip was 252 miles
Answer:
65 mph on level road
Step-by-step explanation:
Set b as average speed on the level road and (b-20) = average speed on the winding road
Distance = speed * time
Level Road distance + winding road dististance = 285 miles
Substituting b and (b-20), we have,
3b + 2(b-20) = 285
3b + 2b - 40 = 285
5b = 285 + 40
5b = 325
b= 325/5
b = 65 mph on level road
Answer: 52 mph
Step-by-step explanation:
Assume the following :
a = average speed traveled on level road
(a - 20) = average speed traveled on winding road
Recall:
Distance = speed × time
Total distance traveled :
Level road distance + winding road distance = 252 miles
3a + 3(a - 20) = 252
3a + 3a - 60 = 252
6a = 252 + 60
6a = 312
a = 52 mph on a level triad
Easy Question, Easy points
Topic: Volume
Focus on question 12
Answer: 0.6 meters cubed.
Step-by-step explanation:
To find the answer to this, first find the volume of the cube.
Volume is equal to the side cubed. In this case, 1 cubed is 1, so the area of the cube is 1 meter cubed.
The depth of the water is 0.4 meters, so the water makes a shape of a rectangular prism, where the length and width are 1 meter, and the height is 0.4 meters.
The volume of a rectangular prism is l*w*h, so the volume of this rectangular prism is 0.4 * 1 * 1, or 0.4 meters cubed.
As such, the volume of the air in the tank is 1 - 0.4, or 0.6 meters cubed.
Answer:
0.6 meters CUBED
Step-by-step explanation:
hope it helps
What is the equation of the line that passes through 1,2 and is parallel to the line whose equation is 2x + y - 1 = 0
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) you have : x_1 =1 and y_1 =2
m the slope m= -2 (same slope for the line : 2x+y-1=0 because this lines are parallel and you can write y=-2x-1
an equation for this line is : y-2 = -2(x-1)
The nth term of a sequence is 2n-6 work out the tenth term
Answer:
Tenth term=14
Step-by-step explanation:
The nth term of a sequence=2n-6
Find the 10th term
If 2n-6= nth term
Then,
Tenth term=2(10)-6
=20-6
=14
Therefore,
Tenth term =14
Factor completely: 14v^3+35v^2+10v+25
Answer:
(2x+5)(7x^2+5)
Dado el número N = 4752a, averigua qué valor ha de tomar "a" para que: a) N sea divisible por tres. b) N sea divisible por cinco. c) N sea divisible por 15. d) Cuando se divida N por 7 dé de resto 5.
Answer:
I will answer it in English:
a) We have te number N = 4752a
if we want to divide it by 3, then the addition of all the digits must be a multiple of 3.
Sum = 4 + 7 + 5 + 2 + a = 6 + 7 + 5 + a = 18 + a
and 18 is a multiple of 3, then we can have, a = 0, a = 3, a = 6, a= 9
b) A number is divisible by 5 if it ends on 5 or 0, so the possible values of a are 0 and 5.
c) we know that 15*3 = 45
then 15*3000= 45000
now we have:
4752a - 45000 = 252a
15*13 = 2520
then we have that a must be equal to zero, and:
15*(13 + 3000) = 47520
d) We want a number that when we divide it by 7, the surpass is 5.
a number is divisible by 7 if the difference between the number without the units and the double of the units is 0 or a multiple of 7.
in N = 4752x the unit is a, then we have:
D = 4752 - 2*x
now, let's choose a such we have a multiple of 7
we know that 5746 is a multiple of 7, so we can choose x= 3 and get:
D = 4752 - 2*3 = 5746
So the number N = 47523 is a multiple of 7, and when we divide it by 7 we will have a surpass of 0.
Then when we divide N + 5 by 7, we will have a surpass of 7.
This is: N + 5 = 47528
This means that the actual value of a that we need is 8.
Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters. V = 2 times 4 times 5 V = 2 + 5 + 4 V = 2 times 5 V = 4 times 5
Answer:A: V= (2)(4)(5)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The circumference of a circular pond in the park is 120 meters. Find the area.
The formula for circumference is C = πd.
What is the value of the diameter rounded to the nearest whole number?
What is the value of the radius rounded to the nearest whole number?
The formula for area is A = πr2.
What is the approximate area of the circular pond rounded to the nearest whole number? m2
Answer:
1) 38
2) 19
3) 1134
Step-by-step explanation:
what’s the answer and the work
Answer:
12
Step-by-step explanation:
12x12=144
The radius of a popper is 6 cm. Its length is 35 cm. Find
the area of the paper required to cover the popper.
Answer:
poda potta
Step-by-step explanation:
The alphabet game costs $.25 to play. Before the game, 26 slips of paper with a different letter of the alphabet on it are put into a bag. A player draws one slip from the bag. If the player draws a vowel (A, E, I, O, or U), he or she wins $1. If a player plays the alphabet game 2 times in a row, replacing the slip of paper after each turn, what is the probability that they win twice? Write as a fraction.
Answer: 25/676
Step-by-step explanation:
Number of possible outcomes = 26
In other to win, one must draw must be either (A, E, I, O or U)
Therefore required drws to win = 5
First draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Second draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Therefore,
P(winning twice) = (5/26) × (5/26) = 25/676
The probability of winning the alphabet game twice in a row is 25/676.
To calculate the probability of winning the alphabet game twice in a row, we need to consider the probability of drawing a vowel each time and then multiply these probabilities together since the events are independent.
First, we identify there are 5 vowels (A, E, I, O, U) in the alphabet, and there are 26 total letters. So the probability of drawing a vowel in one turn is 5/26.
To win twice in a row, you would need to draw a vowel during your first turn and then replace the slip and draw a vowel again on your second turn. Since the slip is replaced after each turn, the probability for each turn remains the same (5/26).
Therefore, the probability of winning twice is:
(5/26) * (5/26) = (25/676)
So, the probability of winning the alphabet game twice in a row is 25/676.
Investigate the link between Pascal's triangle and 2 and its powers
Answer:
Outside of probability, Pascal's Triangle is also used for: Algebra, where coefficient of polynomials can be used to find the numbers in Pascal's triangle. Pascal's Triangle is an arithmetical triangle you can use for some neat things in mathematics.
The entries in Pascal's triangle are actually the number of combinations of N take n where N is the row number starting with N = 0 for the top row and n is the nth number in the row counting from left to right where the n = 0 number is the first number.
The mathematical formula for the number of combinations without repetition is N!/(n!(N-n)!).
Step-by-step explanation:
To construct Pascal's triangle, start with a 1. Then, in the next row, write a 1 and 1. It's good to have spacing between the numbers. In the third row, we have 1 and 1 on the outside slopes. The 2 comes from adding the two numbers above and adjacent. Thus, we are adding the number on the left, 1, with the number on the right, 1, to get 1 + 1 = 2.
In the next row, the 3 comes from adding the 1 and the 2. This particular Pascal's triangle stopped at 1 5 10 10 5 1, but we could have continued indefinitely.
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this rate, what can Dan expect the approximate value of the computer to be after 7 years?
Answer:
$120.1355
Step-by-step explanation:
We can model this as an exponencial function:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
For this case, we have that Po = 900, r = -25% = -0.25 and t = 7, so we can find the value of P
P = 900 * (1 - 0.25)^7 = $120.1355
The price after 7 years will be $120.1355.
To calculate the value of Dan's computer after 7 years of 25% annual depreciation, we use the exponential decay formula. The approximate value of the computer after 7 years is $120.14.
To calculate the approximate value of Dan's computer after 7 years with a depreciation rate of 25% per year, we can use the formula for exponential decay:
[tex]V = P(1 - r)^t[/tex]
V is the future value of the computer.P is the original price of the computer ($900).r is the rate of depreciation (25% or 0.25).t is the time in years (7 years).Plugging in the values, we get:
[tex]V = $900(1 - 0.25)^7[/tex]
[tex]V = $900(0.75)^7[/tex]
V = $900 * 0.1334838867
Therefore, the approximate value of the computer after 7 years is:
V = $120.14
Dan can expect the computer to be worth approximately $120.14 after 7 years.
How do you solve for y?
[tex]PLEASE HURRY WILL MARK BRAINLEST[/tex]
Answer:
43°.
Step-by-step explanation:
To find the measures of the other two angles, we will need to use various angle properties.
We can use the Supplementary Angles formula to find the adjacent angle to the angle that measures 123°.
180 - 123 = 57°. This is the measure of the first angle.
Now, to find the measure of the second angle, we know that these are vertical angles meaning they are congruent. Therefore, the measure of the angle is 80°.
To find 'x', we will simply need to subtract from 180:
180 - 80 - 57 = 43°.
What is true about the solution of x^2/2x-6=9/6x-18?
Answer:
x = ±√3
Step-by-step explanation:
In order to avoid extraneous answers, I like to work these by transforming to an expression equal to zero.
[tex]\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}-\dfrac{9}{6(x-3)}=0\\\\\dfrac{x^2-3}{2(x-3)}=0\\\\x^2=3\\\\\boxed{x=\pm\sqrt{3}}[/tex]
__
If you do this the usual way, by clearing fractions to start, you will get an extraneous solution of x=3.